A department store has revenue from the sale of electrical kitchen appliances that is given approximately by $R ( t ) = 2.2 + 2.2 \cos \frac { \pi t } { 23 }$ for 0 ≤ t ≤ 52, where R(t) is revenue in hundreds of dollars for a week of sales t weeks after January 1. What is the total revenue (to the nearest hundred dollars) earned from t = 10 to $t = 16 ?$
A) $300
B) $1300
C) $1100
D) $1000

Question

Quizplus · Accepted Answer

The total revenue from t = 10 to t = 16 is:$$\int_{10}^{16} (2.2 + 2.2 \cos \frac { \pi t } { 23 }) dt = [2.2t + 2.2 \frac { 23 } { \pi } \sin \frac { \pi t } { 23 } ]_{10}^{16} \approx 1100$$

A Department Store Has Revenue from the Sale of Electrical R(t)=2.2+2.2cos⁡πt23R ( t ) = 2.2 + 2.2 \cos \frac { \pi t } { 23 }R(t)=2.2+2.2cos23πt​

A Department Store Has Revenue from the Sale of Electrical $R ( t ) = 2.2 + 2.2 \cos \frac { \pi t } { 23 }$